TSTP Solution File: NUM915_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM915_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:02:51 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 17 unt; 2 typ; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 13 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 62 ( 0 atm; 24 fun; 3 num; 35 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 26 !; 9 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int ).
tff(f54,plain,
$false,
inference(equality_resolution,[],[f42]) ).
tff(f42,plain,
! [X2: $int] : ( sK1 != X2 ),
inference(superposition,[],[f37,f5]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f37,plain,
! [X5: $int] : ( $sum(X5,0) != sK1 ),
inference(superposition,[],[f29,f7]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f29,plain,
! [X3: $int,X4: $int] : ( sK1 != $sum(X4,$sum(sK0,X3)) ),
inference(superposition,[],[f25,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f25,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum(X1,sK0)) != sK1 ),
inference(superposition,[],[f21,f4]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f21,plain,
! [X0: $int] : ( $sum(X0,sK0) != sK1 ),
inference(superposition,[],[f20,f3]) ).
tff(f20,plain,
! [X2: $int] : ( sK1 != $sum(sK0,X2) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
! [X2: $int] : ( sK1 != $sum(sK0,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f17,f18]) ).
tff(f18,plain,
( ? [X0: $int,X1: $int] :
! [X2: $int] : ( $sum(X0,X2) != X1 )
=> ! [X2: $int] : ( sK1 != $sum(sK0,X2) ) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
? [X0: $int,X1: $int] :
! [X2: $int] : ( $sum(X0,X2) != X1 ),
inference(rectify,[],[f16]) ).
tff(f16,plain,
? [X1: $int,X0: $int] :
! [X2: $int] : ( $sum(X1,X2) != X0 ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ! [X0: $int,X1: $int] :
? [X2: $int] : ( $sum(X1,X2) = X0 ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X1: $int,X0: $int] :
? [X2: $int] : ( $sum(X0,X2) = X1 ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X1: $int,X0: $int] :
? [X2: $int] : ( $sum(X0,X2) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM915=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 09:16:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.54 % (27102)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.55 % (27120)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.20/0.56 % (27119)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.20/0.56 % (27112)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.56 % (27120)First to succeed.
% 0.20/0.56 % (27111)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.20/0.56 % (27127)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/41Mi)
% 0.20/0.56 % (27102)Also succeeded, but the first one will report.
% 0.20/0.57 % (27120)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (27120)------------------------------
% 0.20/0.57 % (27120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (27120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (27120)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (27120)Memory used [KB]: 1023
% 0.20/0.57 % (27120)Time elapsed: 0.138 s
% 0.20/0.57 % (27120)Instructions burned: 3 (million)
% 0.20/0.57 % (27120)------------------------------
% 0.20/0.57 % (27120)------------------------------
% 0.20/0.57 % (27097)Success in time 0.208 s
%------------------------------------------------------------------------------